Statistical mechanics of a two-dimensional black hole
High Energy Physics - Theory
2019-06-26 v2 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
The dynamics of a nearly-AdS2 spacetime with boundaries is reduced to two particles in the anti-de Sitter space. We determine the class of physically meaningful wavefunctions, and prescribe the statistical mechanics of a black hole. We demonstrate how wavefunctions for a two-sided black hole and a regularized notion of trace can be used to construct thermal partition functions, and more generally, arbitrary density matrices. We also obtain correlation functions of external operators.
Keywords
Cite
@article{arxiv.1808.07032,
title = {Statistical mechanics of a two-dimensional black hole},
author = {Alexei Kitaev and S. Josephine Suh},
journal= {arXiv preprint arXiv:1808.07032},
year = {2019}
}
Comments
33 pages + appendices; v.2: additional reference, explicit formula for two-point correlators, and other minor improvements